SOLUTION: Mr. Greycloud works in a lab at a pharmaceutical company. He needs to make 24 liters of a 39% acid solution to test a new product. His supplier only ships a 44% and a 32% solution.

Question 1101213: Mr. Greycloud works in a lab at a pharmaceutical company. He needs to make 24 liters of a 39% acid solution to test a new product. His supplier only ships a 44% and a 32% solution. Mr. Greycloud decides to make the 39% solution by mixing the 44% solution with the 32% solution. How much of the 44% solution will Mr. Greycloud need to use?
A. 11 L
B. 24 L
C. 10 L
D. 14 L
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
x+y=24,
0.44*x+0.32*y=0.39*24
0.44*x+0.32*y=9.36
x=24-y
0.44*(24-y)+0.32*y=9.36
10.56-0.44y+0.32*y=9.36
-0.12*y=-1.2
We now know amount of solution at 32%
y=10.0 liters at 32%
x=24-y
We now know amount of solution at 44%
x=14.0 liters at 44%
check
0.44*14.0+0.32*10.0=0.39*24
6.16+3.2=9.36
9.36=9.36
ok

RELATED QUESTIONS
Mr. Grey cloud works in the lab at a pharmaceutical company. He needs to make 24 liters... (answered by richwmiller,greenestamps)

Mr Greycloud works in the lab at a pharmaceutical company. He needs to make 27 liters of... (answered by stanbon)

Mrs. Greycloud works in a lab at pharmaceutical company. She needs to make 23 liters of a (answered by ikleyn)

Mr. Rosoff works in the lab at a pharmaceutical company. He needs to make 44 liters of a... (answered by josgarithmetic)

Mr. Rosoff works in the lab at a pharmaceutical company. He needs to make 60 liters of a... (answered by josgarithmetic,Boreal,greenestamps)

Mr. Ferrer works in the lab at a pharmaceutical company. He needs to make 55 liters of a... (answered by ikleyn,richwmiller)

Nicolas works in a lab. He needs a 15% acid solution for a certain test, but the supplier (answered by TimothyLamb)

A chemist needs 10 L of a solution that is 35% acid. In his lab, he has a supply of a 45% (answered by josgarithmetic)

he needs to make 60 liters of a 36% acid solution to test a new product. His supplier... (answered by Alan3354,greenestamps)